Throughout the Golden Age of Islam , especially throughout the 9th and tenth centuries, mathematics noticed many important innovations constructing on Greek mathematics: most of them embody the contributions from Persian mathematicians such as Al-Khwarismi , Omar Khayyam and Sharaf al-Dīn al-Ṭūsī.

You may look at the definition of a measurable space, additive measures, building of measures, measurable capabilities, integrals with respect to a measure, differentiability of monotone capabilities, okay-dimensional measures in n-dimensional house, Lebesgue-Stieltjes measure and Lebesgue measure.

The answer changes depending on the philosophical stance of the definer, and on the department of mathematics s/he wishes to deal with. And, as new branches of mathematics are discovered and developed, the definition additionally continues to develop, adapt and alter accordingly.